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Finding the Fourth Proportional to 414,952.75, 572,629.15 and 233,666.85

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Solution

The fourth proportional to 414,952.75, 572,629.15 and 233,666.85 is: 322,457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,952.75 : 572,629.15 = 233,666.85 : x
  2. Step 2: Convert to fraction form
    414,952.75/572,629.15 = 233,666.85/x
  3. Step 3: Cross multiply
    414,952.75x = 572,629.15 × 233,666.85
  4. Step 4: Simplify right side
    414,952.75x = 133,804,449,698.68
  5. Step 5: Solve for x
    x = 133,804,449,698.68/414,952.75
  6. Step 6: Final answer
    x = 322,457.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.